On the local étale fundamental group of KLT threefold singularities

Javier Carvajal-Rojas; Axel Stäbler; János Kollár

doi:10.14231/AG-2023-025

On the local étale fundamental group of KLT threefold singularities

Javier Carvajal-Rojas, Axel Stäbler, János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let S be a KLT threefold singularity over an algebraically closed field of positive characteristic p?> 5. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open subset of S is realized as the restriction of a finite unipotent torsor over S.

Original language	English (US)
Pages (from-to)	694-728
Number of pages	35
Journal	Algebraic Geometry
Volume	10
Issue number	6
DOIs	https://doi.org/10.14231/AG-2023-025
State	Published - 2023

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

F-regularity
Kawamata log terminal
Kollár components
étale fundamental group

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10.14231/AG-2023-025

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abstract = "Let S be a KLT threefold singularity over an algebraically closed field of positive characteristic p?> 5. We prove that its local {\'e}tale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open subset of S is realized as the restriction of a finite unipotent torsor over S.",

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AU - Carvajal-Rojas, Javier

AU - Stäbler, Axel

AU - Kollár, János

N1 - Publisher Copyright: © Foundation Compositio Mathematica 2023. This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica.

PY - 2023

Y1 - 2023

N2 - Let S be a KLT threefold singularity over an algebraically closed field of positive characteristic p?> 5. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open subset of S is realized as the restriction of a finite unipotent torsor over S.

AB - Let S be a KLT threefold singularity over an algebraically closed field of positive characteristic p?> 5. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open subset of S is realized as the restriction of a finite unipotent torsor over S.

KW - F-regularity

KW - Kawamata log terminal

KW - Kollár components

KW - étale fundamental group

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On the local étale fundamental group of KLT threefold singularities

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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